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What does singularities mean?

Looking for the meaning or definition of the word singularities? Here's what it means.

Noun
  1. plural of singularity
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The city is the arena of multiple singularities, packed densely with each intensely individual life living out its deeply personal destiny.
However, in the late 1960s Roger Penrose and Stephen Hawking used global techniques to prove that singularities appear generically.
We describe the classification of del Pezzo surfaces of Picard rank one with smoothable quotient singularities.
The appearance of singularities in general relativity is commonly perceived as signaling the breakdown of the theory.
The algorithms that Taubin developed worked well even in the vicinity of cusps and other singularities.
We have taken care of finding feasible starting points and interesting classes of singularities where the initial development is less steep.

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